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There are several ways to do this. You can round 9 to 10, since it is fairly close; dividing by 10 is easy, and rounding 9 to 10 gives you an error of about 11%.
Also, you can round the first two digits of 524 to the closest multiple of 9; in that case, it is easy to divide it by 9.
In any case, it should be possible to do all these calculations mentally (that's the main point of estimating).
Well, isn't that a happy little division problem we have here! To estimate 524 divided by 9, you can round 524 to 520 and 9 to 10. Then, divide 520 by 10 to get an estimate of 52. So, it looks like the answer is around 52.